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Give a Rule for the Piecewise-Defined Function f(x)={2 if x≤−34 if x>4f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right.

Question 16

Multiple Choice

Give a rule for the piecewise-defined function. Then give the domain and range.
- Give a rule for the piecewise-defined function. Then give the domain and range. -  A)   f ( x )  = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right. ; Domain:  [ 2,4 \} , Range:  ( * - 3 ] \cup ( 4 , \infty )   B)   f ( x )  = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} ; \right.  Domain:  \{ 2,4 \} , Range:  ( \infty - 3 )  \cup [ 4 , \infty )   C)   f ( x )  = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right.  Domain:  ( \infty - 3 ] \cup ( 4 , \infty )  , Range:  \{ 2,4 \}  D)   f ( x )  = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right. ; Domain:  ( \infty - 3 )  \cup [ 4 , \infty )  , Range:  \{ 2,4 \}


A) f(x) ={2 if x≤−34 if x>4f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} \right. ; Domain: [2,4}[ 2,4 \} , Range: (∗−3]∪(4,∞) ( * - 3 ] \cup ( 4 , \infty )
B) f(x) ={2 if x<−34 if x≥4;f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} ; \right. Domain: {2,4}\{ 2,4 \} , Range: (∞−3) ∪[4,∞) ( \infty - 3 ) \cup [ 4 , \infty )
C) f(x) ={2 if x≤−34 if x>4;f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \\ 4 & \text { if } x > 4 \end{array} ; \right. Domain: (∞−3]∪(4,∞) ( \infty - 3 ] \cup ( 4 , \infty ) , Range: {2,4}\{ 2,4 \}
D) f(x) ={2 if x<−34 if x≥4f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \\ 4 & \text { if } x \geq 4 \end{array} \right. ; Domain: (∞−3) ∪[4,∞) ( \infty - 3 ) \cup [ 4 , \infty ) , Range: {2,4}\{ 2,4 \}

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